Three point charges are arranged in a horizontal line as shown below. Find the e
ID: 1655308 • Letter: T
Question
Three point charges are arranged in a horizontal line as shown below. Find the electric force on Q1 given the following: Q1 = -2 mC, Q2 = 5 mC, Q3 = -5 mC, r1 = 90 m, and r2 = 180 m. Remember that a positive force points to the right and a negative force points to the left.What is the net force on charge Q1? (in units of N) Tries 0/2 What is the net force on charge Q2? (in units of N) Tries 0/2 What is the net force on charge Q3? (in units of N) Tries 0/2 What is the sum of the forces on all three charges? (in units of N) Tries 0/2
Three point charges are arranged in a horizontal line as shown below. Find the electric force on Q1 given the following: Q1 =-2 mC, Q2 = 5 mC, Q3 =-5 mC, r1 = 90 m, and r2 = 180 m. Remember that a positive force points to the right and a negative force points to the left. 2 3 2 What is the net force on charge Q1? (in units of N) Submit Answer Tries 0/2 What is the net force on charge Q2? (in units of N) Submit AnswerTries 0/2 What is the net force on charge Q3? (in units of N) Submit AnswerTries 0/2 what is the sum of the forces on all thre charges? (in units of N) Submit AnswerTries 0/2
Explanation / Answer
given three point charges
Q1 = -2 mC
Q2 = 5 mC
Q3 = -5 mC
distacne between Q1 and Q2, r1 = 90 m
distacne between Q2 and Q3, r2 = 180 m
a. from coulombs law
net force on Q1 = kQ1[Q2/r1^2 + Q3/(r1 + r2)^2]
F1 = 8.98*10^9(-2*10^-6)[5/90^2 - 5/(270)^2]
F1 = -9.85 N ( towards right)
b. from coulombs law
net force on Q2 = kQ2[Q1/r1^2 - Q3/( r2)^2]
F1 = 8.98*10^9(5*10^-6)[-2/90^2 + 5/(180)^2]
F1 = -4.157 N ( towards left)
c. from coulombs law
net force on Q3 = kQ3[Q2/r2^2 + Q1/(r1 + r2)^2]
F1 = 8.98*10^9(-5*10^-6)(5/180^2 + 2/(270)^2]
F1 = -8.16 N ( towards left)
net force on three particles = 2.467 N towards left
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